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snow_tiger [21]
3 years ago
13

Please someone help!!!

Mathematics
1 answer:
Bezzdna [24]3 years ago
3 0

Answer:

it is blocked

Step-by-step explanation:

itr is blocked

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Find the taylor series for f(x) centered at the given value of a. [assume that f has a power series expansion. do not show that
Bond [772]

Taylor series is f(x) = ln2 + \sum_{n=1)^{\infty}(-1)^{n-1} \frac{(n-1)!}{n!(9)^{n}(x9)^{2}  }

To find the Taylor series for f(x) = ln(x) centering at 9, we need to observe the pattern for the first four derivatives of f(x). From there, we can create a general equation for f(n). Starting with f(x), we have

f(x) = ln(x)

f^{1}(x)= \frac{1}{x} \\f^{2}(x)= -\frac{1}{x^{2} }\\f^{3}(x)= -\frac{2}{x^{3} }\\f^{4}(x)= \frac{-6}{x^{4} }

.

.

.

Since we need to have it centered at 9, we must take the value of f(9), and so on.

f(9) = ln(9)

f^{1}(9)= \frac{1}{9} \\f^{2}(9)= -\frac{1}{9^{2} }\\f^{3}(x)= -\frac{1(2)}{9^{3} }\\f^{4}(x)= \frac{-1(2)(3)}{9^{4} }

.

.

.

Following the pattern, we can see that for f^{n}(x),

f^{n}(x)=(-1)^{n-1}\frac{1.2.3.4.5...........(n-1)}{9^{n} }  \\f^{n}(x)=(-1)^{n-1}\frac{(n-1)!}{9^{n}}

This applies for n ≥ 1, Expressing f(x) in summation, we have

\sum_{n=0}^{\infinite} \frac{f^{n}(9) }{n!} (x-9)^{2}

Combining ln2 with the rest of series, we have

f(x) = ln2 + \sum_{n=1)^{\infty}(-1)^{n-1} \frac{(n-1)!}{n!(9)^{n}(x9)^{2}  }

Taylor series is f(x) = ln2 + \sum_{n=1)^{\infty}(-1)^{n-1} \frac{(n-1)!}{n!(9)^{n}(x9)^{2}  }

Find out more information about taylor series here

brainly.com/question/13057266

#SPJ4

3 0
2 years ago
How do i figure this out???​
Vladimir [108]

Theres 8 edges, 5 vertices, and 5 faces.

6 0
4 years ago
46 2/3% of 28 please i need to know answer an work
Bogdan [553]

First, it would help to put 46 and 2/3 into an improper fraction: 140/3.

Then, since this is a percent, we put that improper fraction over 100: (140/3)/100 = 140/300.

Finally, we multiply this answer by 28 since "of" means multiply:

(140/300) * 28 = 196/15 = 13 1/15

8 0
3 years ago
Multiply then write the product in the simplest form <br> 3/1
Ganezh [65]

Answer:

9

Step-by-step explanation:

3/1*3/1=

3*3= 9

Answer: 9

9 is the most simplified version.

(I think this is what it means)

6 0
4 years ago
Please help! I'll also give you a brainlist.
nekit [7.7K]
Range: (-infinity, 4]
the ] signifies that the four is included in the range, rather than ) which means reaching but never approaching. this is why we use ( ) for - and + infinity, cause it can never be reached.

minimum: (-infinity, infinity)
keep it in same format as you have for the maximum

increasing
the interval -infinity
6 0
3 years ago
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